Xu, Chen; Liu, Xiaoxia; Zheng, Jian; Shen, Lixin; Jiang, Qingtang; Lu, Jian Nonlocal low-rank regularized two-phase approach for mixed noise removal. (English) Zbl 1469.94018 Inverse Probl. 37, No. 8, Article ID 085001, 25 p. (2021). MSC: 94A08 90C25 68U10 65D18 PDFBibTeX XMLCite \textit{C. Xu} et al., Inverse Probl. 37, No. 8, Article ID 085001, 25 p. (2021; Zbl 1469.94018) Full Text: DOI
Li, Yan-Ran; Chan, Raymond H. F.; Shen, Lixin; Zhuang, Xiaosheng Regularization with multilevel non-stationary tight framelets for image restoration. (English) Zbl 1467.94005 Appl. Comput. Harmon. Anal. 53, 332-348 (2021). MSC: 94A08 42C15 68U10 PDFBibTeX XMLCite \textit{Y.-R. Li} et al., Appl. Comput. Harmon. Anal. 53, 332--348 (2021; Zbl 1467.94005) Full Text: DOI arXiv
Yang, Hanmei; Li, Jiachang; Shen, Lixin; Lu, Jian A convex variational model for restoring SAR images corrupted by multiplicative noise. (English) Zbl 1459.94023 Math. Probl. Eng. 2020, Article ID 1952782, 19 p. (2020). MSC: 94A08 49N90 90C25 68U10 PDFBibTeX XMLCite \textit{H. Yang} et al., Math. Probl. Eng. 2020, Article ID 1952782, 19 p. (2020; Zbl 1459.94023) Full Text: DOI
Zeng, Xueying; Shen, Lixin; Xu, Yuesheng; Lu, Jian Matrix completion via minimizing an approximate rank. (English) Zbl 1425.65057 Anal. Appl., Singap. 17, No. 5, 689-713 (2019). MSC: 65F22 49N45 68W25 PDFBibTeX XMLCite \textit{X. Zeng} et al., Anal. Appl., Singap. 17, No. 5, 689--713 (2019; Zbl 1425.65057) Full Text: DOI
Lu, Jian; Shen, Lixin; Xu, Chen; Xu, Yuesheng Multiplicative noise removal with a sparsity-aware optimization model. (English) Zbl 1375.94022 Inverse Probl. Imaging 11, No. 6, 949-974 (2017). MSC: 94A08 49N45 68U10 PDFBibTeX XMLCite \textit{J. Lu} et al., Inverse Probl. Imaging 11, No. 6, 949--974 (2017; Zbl 1375.94022) Full Text: DOI
Long, Wenting; Lu, Yao; Shen, Lixin; Xu, Yuesheng High-resolution image reconstruction: an \(\mathrm{env}_{\ell^{1}}/\text{TV}\) model and a fixed-point proximity algorithm. (English) Zbl 1415.94031 Int. J. Numer. Anal. Model. 14, No. 2, 255-282 (2017). MSC: 94A08 49J40 62H35 68U10 PDFBibTeX XMLCite \textit{W. Long} et al., Int. J. Numer. Anal. Model. 14, No. 2, 255--282 (2017; Zbl 1415.94031) Full Text: Link
Lu, Jian; Chen, Yupeng; Zou, Yuru; Shen, Lixin A new total variation model for restoring blurred and Speckle noisy images. (English) Zbl 1362.65040 Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 2, Article ID 1750009, 19 p. (2017). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 65F10 65F22 68U10 PDFBibTeX XMLCite \textit{J. Lu} et al., Int. J. Wavelets Multiresolut. Inf. Process. 15, No. 2, Article ID 1750009, 19 p. (2017; Zbl 1362.65040) Full Text: DOI
Li, Yan-Ran; Chan, Raymond H.; Shen, Lixin; Hsu, Yung-Chin; Tseng, Wen-Yih Isaac An adaptive directional Haar framelet-based reconstruction algorithm for parallel magnetic resonance imaging. (English) Zbl 1366.94057 SIAM J. Imaging Sci. 9, No. 2, 794-821 (2016). MSC: 94A08 65K10 65T60 68U10 PDFBibTeX XMLCite \textit{Y.-R. Li} et al., SIAM J. Imaging Sci. 9, No. 2, 794--821 (2016; Zbl 1366.94057) Full Text: DOI
Pan, Binbin; Lai, Jianhuang; Shen, Lixin Ideal regularization for learning kernels from labels. (English) Zbl 1325.68194 Neural Netw. 56, 22-34 (2014). MSC: 68T05 PDFBibTeX XMLCite \textit{B. Pan} et al., Neural Netw. 56, 22--34 (2014; Zbl 1325.68194) Full Text: DOI
Chen, Feishe; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying The Moreau envelope approach for the L1/TV image denoising model. (English) Zbl 1283.94010 Inverse Probl. Imaging 8, No. 1, 53-77 (2014). MSC: 94A08 49N45 68U10 PDFBibTeX XMLCite \textit{F. Chen} et al., Inverse Probl. Imaging 8, No. 1, 53--77 (2014; Zbl 1283.94010) Full Text: DOI
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng; Zeng, Xueying Proximity algorithms for the L1/TV image denoising model. (English) Zbl 1275.65014 Adv. Comput. Math. 38, No. 2, 401-426 (2013). Reviewer: Ivana Linkeová (Praha) MSC: 65D18 68U10 94A08 65D19 92C55 PDFBibTeX XMLCite \textit{C. A. Micchelli} et al., Adv. Comput. Math. 38, No. 2, 401--426 (2013; Zbl 1275.65014) Full Text: DOI
Li, Yan-Ran; Shen, Lixin; Dai, Dao-Qing; Suter, Bruce W. Framelet algorithms for de-blurring images corrupted by impulse plus Gaussian noise. (English) Zbl 1372.94153 IEEE Trans. Image Process. 20, No. 7, 1822-1837 (2011). MSC: 94A08 94A11 68U10 42C40 65T60 PDFBibTeX XMLCite \textit{Y.-R. Li} et al., IEEE Trans. Image Process. 20, No. 7, 1822--1837 (2011; Zbl 1372.94153) Full Text: DOI
Micchelli, Charles A.; Shen, Lixin; Xu, Yuesheng Proximity algorithms for image models: denoising. (English) Zbl 1216.94015 Inverse Probl. 27, No. 4, Article ID 045009, 30 p. (2011). MSC: 94A08 68T45 PDFBibTeX XMLCite \textit{C. A. Micchelli} et al., Inverse Probl. 27, No. 4, Article ID 045009, 30 p. (2011; Zbl 1216.94015) Full Text: DOI
Cai, Jian-Feng; Chan, Raymond; Shen, Lixin; Shen, Zuowei Restoration of chopped and nodded images by framelets. (English) Zbl 1161.94303 SIAM J. Sci. Comput. 30, No. 3, 1205-1227 (2008). MSC: 94A08 42C40 65T60 68U10 PDFBibTeX XMLCite \textit{J.-F. Cai} et al., SIAM J. Sci. Comput. 30, No. 3, 1205--1227 (2008; Zbl 1161.94303) Full Text: DOI
Lu, Yao; Shen, Lixin; Xu, Yuesheng Multi-parameter regularization methods for high-resolution image reconstruction with displacement errors. (English) Zbl 1374.94240 IEEE Trans. Circuits Syst. I, Regul. Pap. 54, No. 8, 1788-1799 (2007). MSC: 94A08 62H35 68U10 PDFBibTeX XMLCite \textit{Y. Lu} et al., IEEE Trans. Circuits Syst. I, Regul. Pap. 54, No. 8, 1788--1799 (2007; Zbl 1374.94240) Full Text: DOI
Chan, Raymond H.; Riemenschneider, Sherman D.; Shen, Lixin; Shen, Zuowei Tight frame: an efficient way for high-resolution image reconstruction. (English) Zbl 1046.42026 Appl. Comput. Harmon. Anal. 17, No. 1, 91-115 (2004). MSC: 42C40 65T60 68U10 94A08 PDFBibTeX XMLCite \textit{R. H. Chan} et al., Appl. Comput. Harmon. Anal. 17, No. 1, 91--115 (2004; Zbl 1046.42026) Full Text: DOI
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei Wavelet algorithms for high-resolution image reconstruction. (English) Zbl 1031.68127 SIAM J. Sci. Comput. 24, No. 4, 1408-1432 (2003). MSC: 68U10 65T60 42C40 94A08 PDFBibTeX XMLCite \textit{R. H. Chan} et al., SIAM J. Sci. Comput. 24, No. 4, 1408--1432 (2003; Zbl 1031.68127) Full Text: DOI
Chan, Raymond H.; Chan, Tony F.; Shen, Lixin; Shen, Zuowei Wavelet deblurring algorithms for spatially varying blur from high-resolution image reconstruction. (English) Zbl 1025.65064 Linear Algebra Appl. 366, 139-155 (2003). MSC: 65T60 94A08 68U10 PDFBibTeX XMLCite \textit{R. H. Chan} et al., Linear Algebra Appl. 366, 139--155 (2003; Zbl 1025.65064) Full Text: DOI
Kakadiaris, Ioannis A.; Papadakis, Emmanuel; Shen, Lixin; Kouri, Donald; Hoffman, David g-HDAF multiresolution deformable models. (English) Zbl 1027.68849 Perales, Francisco José (ed.) et al., Articulated motion and deformable objects. Second international workshop, AMDO 2002, Palma de Mallorca, Spain, November 21-23, 2002. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 2492, 21-31 (2002). MSC: 68U99 68T45 68U10 PDFBibTeX XMLCite \textit{I. A. Kakadiaris} et al., Lect. Notes Comput. Sci. 2492, 21--31 (2002; Zbl 1027.68849) Full Text: Link
Shen, L.; Tan, H. H.; Tham, J. Y. Symmetric-antisymmetric orthonormal multiwavelets and related scalar wavelets. (English) Zbl 0973.42030 Appl. Comput. Harmon. Anal. 8, No. 3, 258-279 (2000). Reviewer: Gerlind Plonka (Duisburg) MSC: 42C40 65T60 94A08 68U10 41A30 PDFBibTeX XMLCite \textit{L. Shen} et al., Appl. Comput. Harmon. Anal. 8, No. 3, 258--279 (2000; Zbl 0973.42030) Full Text: DOI
Tan, Hwee Huat; Shen, Li-Xin; Thamm Jo Yew New biorthogonal multiwavelets for image incompression. (English) Zbl 1002.94503 Signal Process. 79, No. 1, 45-65 (1999). MSC: 94A08 65T60 68U10 PDFBibTeX XMLCite \textit{H. H. Tan} et al., Signal Process. 79, No. 1, 45--65 (1999; Zbl 1002.94503) Full Text: DOI